Search Results for author: Changcun Huang

Found 5 papers, 0 papers with code

On an Interpretation of ResNets via Solution Constructions

no code implementations12 Dec 2022 Changcun Huang

This paper first constructs a typical solution of ResNets for multi-category classifications by the principle of gate-network controls and deep-layer classifications, from which a general interpretation of the ResNet architecture is given and the performance mechanism is explained.

Universal Solutions of Feedforward ReLU Networks for Interpolations

no code implementations16 Aug 2022 Changcun Huang

To deep-layer networks, we present a general result called sparse-matrix principle, which could describe some basic behavior of deep layers and explain the phenomenon of the sparse-activation mode that appears in engineering applications associated with brain science; an advantage of deep layers compared to shallower ones is manifested in this principle.

On a Mechanism Framework of Autoencoders

no code implementations15 Aug 2022 Changcun Huang

To the encoder part, under the main use of dimensionality reduction, we investigate its two fundamental properties: bijective maps and data disentangling.

Denoising Dimensionality Reduction +1

Theoretical Exploration of Solutions of Feedforward ReLU Networks

no code implementations24 Jan 2022 Changcun Huang

This paper aims to interpret the mechanism of feedforward ReLU networks by exploring their solutions for piecewise linear functions, through the deduction from basic rules.

Interpretations of Deep Learning by Forests and Haar Wavelets

no code implementations16 Jun 2019 Changcun Huang

Finally, generalize some of the conclusions of ReLU deep learning to the case of sigmoid-unit deep learning.

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